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Simplifying (3x + -2)(2 + 4y) = 0 Reorder the terms: (-2 + 3x)(2 + 4y) = 0 Multiply (-2 + 3x) * (2 + 4y) (-2(2 + 4y) + 3x * (2 + 4y)) = 0 ((2 * -2 + 4y * -2) + 3x * (2 + 4y)) = 0 ((-4 + -8y) + 3x * (2 + 4y)) = 0 (-4 + -8y + (2 * 3x + 4y * 3x)) = 0 (-4 + -8y + (6x + 12xy)) = 0 Reorder the terms: (-4 + 6x + 12xy + -8y) = 0 (-4 + 6x + 12xy + -8y) = 0 Solving -4 + 6x + 12xy + -8y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 6x + 12xy + 4 + -8y = 0 + 4 Reorder the terms: -4 + 4 + 6x + 12xy + -8y = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 6x + 12xy + -8y = 0 + 4 6x + 12xy + -8y = 0 + 4 Combine like terms: 0 + 4 = 4 6x + 12xy + -8y = 4 Add '8y' to each side of the equation. 6x + 12xy + -8y + 8y = 4 + 8y Combine like terms: -8y + 8y = 0 6x + 12xy + 0 = 4 + 8y 6x + 12xy = 4 + 8y Reorder the terms: -4 + 6x + 12xy + -8y = 4 + 8y + -4 + -8y Reorder the terms: -4 + 6x + 12xy + -8y = 4 + -4 + 8y + -8y Combine like terms: 4 + -4 = 0 -4 + 6x + 12xy + -8y = 0 + 8y + -8y -4 + 6x + 12xy + -8y = 8y + -8y Combine like terms: 8y + -8y = 0 -4 + 6x + 12xy + -8y = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-2 + 3x + 6xy + -4y) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-2 + 3x + 6xy + -4y)' equal to zero and attempt to solve: Simplifying -2 + 3x + 6xy + -4y = 0 Solving -2 + 3x + 6xy + -4y = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 3x + 6xy + 2 + -4y = 0 + 2 Reorder the terms: -2 + 2 + 3x + 6xy + -4y = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 3x + 6xy + -4y = 0 + 2 3x + 6xy + -4y = 0 + 2 Combine like terms: 0 + 2 = 2 3x + 6xy + -4y = 2 Add '4y' to each side of the equation. 3x + 6xy + -4y + 4y = 2 + 4y Combine like terms: -4y + 4y = 0 3x + 6xy + 0 = 2 + 4y 3x + 6xy = 2 + 4y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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